A consumer study in a large city found that the cost of a pack of 6 muesli bars varied according to a normal distribution with a mean of $5.27 and a standard deviation of 70 cents per pack. Express the probabilities as proportion with four decimal places (4dp). Enter 0.0023, for example.

(1 mark) What is the probability that a randomly selected consumer paid less than $5.65 per pack? Answer

(2 marks) What is the probability that a randomly selected consumer paid more than $4.61 per pack? Answer

(2 marks) What is the probability that a randomly selected consumer paid between $4.60 and $5.87 per pack? Answer

(1 mark) If the cost to a consumer was on the 80th percentile, what was the cost of the pack of 6 muesli bars?